How to find all of the missing parts of a triangle by first using the law of cosines

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Mathematics
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11th Grade - University
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Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary reason for using the law of cosines instead of the law of sines in a side-angle-side (SAS) scenario?
The law of cosines is always more accurate.
The law of cosines is easier to calculate.
The law of sines requires a known angle-side ratio.
The law of sines is not applicable to any triangle.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the law of cosines formula be adapted for different triangles?
By converting it to the law of sines.
By using only one formula for all triangles.
By swapping the positions of the sides and angles.
By changing the angle to a right angle.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a common mistake students make when using the law of cosines?
Forgetting to square the sides.
Using the wrong angle in the formula.
Subtracting terms incorrectly due to order of operations.
Adding all terms together.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to follow the order of operations when calculating with the law of cosines?
To ensure the calculation is quick.
To avoid incorrect subtraction of terms.
To make the formula easier to remember.
To use the law of sines instead.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the advantage of using the law of sines after finding a ratio with the law of cosines?
It is faster and avoids the ambiguous case.
It is more accurate than the law of cosines.
It requires fewer calculations.
It can solve any triangle without additional information.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the ambiguous case in the law of sines be avoided?
By always using the law of cosines.
By using a calculator.
By choosing the larger angle first.
By selecting the smaller angle to solve first.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final step in solving a triangle using trigonometric laws?
Drawing the triangle to scale.
Rechecking all calculations.
Finding the last angle using the sum of angles in a triangle.
Using the law of sines again.
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